论文部分内容阅读
本文构造一类Bernstein型插值过程,重新证明了逼近论中的Timan定理,并且研究了该插值过程的导数逼近函数导数时收敛阶估计,主要结果是文中的定理1,2,4.
In this paper, a class of Bernstein-type interpolation process is constructed. The Timan theorem in the approximation theory is re-proved, and the convergence order estimates of derivatives of the derivative approximation function of the interpolation process are studied. The main results are the theorems 1, 2 and 4 in this paper.